Titlebook: Advances in Hypercomplex Analysis; Graziano Gentili,Irene Sabadini,Daniele C. Struppa Book 2013 Springer-Verlag Italia 2013 Functions of h

integrated

Christian Krachts Mikro?sthetikn subset of the space of quaternions ? that intersects the real line and let . be the unit sphere of purely imaginary quaternions. Slice regular functions are those functions .:.→? whose restriction to the complex planes ?(.), for every ., are holomorphic maps. One of their crucial properties is tha

Bumptious

Susanne Komfort-Hein,Heinz Drüghdisc . under a holomorphic function . (such that .(0)=0 and .′(0)=1) always contains an open disc with radius larger than a universal constant. In this paper we prove a Bloch-Landau type Theorem for slice regular functions over the skew field ? of quaternions. If . is a regular function on the open

CURL

Susanne Komfort-Hein,Heinz Drügh in . (1<.<+∞). Applying Almansi-type decomposition theorems for null solutions to iterated Dirac operators, our Dirichlet-type problems for null solutions to iterated Dirac operators is transferred to Dirichlet-type problems for monogenic functions or harmonic functions. By introducing shifted Eule

Ataxia

Christian Kracht’s Micro-aestheticsar functions, which includes polynomials and power series with quaternionic coefficients. We show that every slice regular function coincides up to the first order with a unique regular function on the three-dimensional subset of reduced quaternions. We also characterize the regular functions so obt

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Graziano Gentili,Irene Sabadini,Daniele C. StruppaNew trends in mathematics.Applied mathematics.International leading specialists.Includes supplementary material:

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Springer INdAM Serieshttp://image.papertrans.cn/a/image/148302.jpg

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Book 2013nds and techniques in the area and, in general, of promoting scientific collaboration. Particular attention is paid to the presentation of different notions of regularity for functions of hypercomplex variables, and to the study of the main features of the theories that they originate.

植物學(xué)

Christian Krachts Mikro?sthetik . and is a reproducing kernel. In the slice regular Bergman theory of the second kind we use the Representation Formula to define another Bergman kernel; this time the kernel is still defined on . but the integral representation of . requires the calculation of the integral only on .∩?(.) and the integral does not depend on ..

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